Remark 5.14 Prym varieties behave well under tropicalization [1]}. That is, if \(\pi :\widetilde{\Gamma }\rightarrow \Gamma \)  is the tropicalization of an étale double cover \(f:\widetilde{X}\rightarrow X\)  of curves, then
\(\operatorname{Trop}(\operatorname{Prym}_0(\widetilde{X}/ X)) = \operatorname{Prym}_0(\widetilde{\Gamma }/ \Gamma ).\) 

